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Finding the Fourth Proportional to 1,311.92, 1,967.56 and 581.09

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Solution

The fourth proportional to 1,311.92, 1,967.56 and 581.09 is: 871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.92 : 1,967.56 = 581.09 : x
  2. Step 2: Convert to fraction form
    1,311.92/1,967.56 = 581.09/x
  3. Step 3: Cross multiply
    1,311.92x = 1,967.56 × 581.09
  4. Step 4: Simplify right side
    1,311.92x = 1,143,329.44
  5. Step 5: Solve for x
    x = 1,143,329.44/1,311.92
  6. Step 6: Final answer
    x = 871.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.